This looks like the responsorial psalm for Friday of the 6th week in Ordinary Time, year I ("Blessed the people the Lord has chosen to be his own.") I don't know of any published settings of psalms for weekdays in ordinary time. (I believe Fr. Anthony Ruff's collection covers only Advent, Christmas, Lent, and Easter, but please correct me if I'm wrong.) Here are some ideas.
Since the antiphon is the same as Trinity Sunday, year B, one option would be to use a musical setting of this and arrange the verses to the given psalm tone. There are some free settings online here.
Another option is to use a seasonal psalm for ordinary time. There are some free ones here.
To participate in the discussions on Catholic church music, sign in or register as a forum member, The forum is a project of the Church Music Association of America.